an investor invested a total of 2600 in two funds. One fund earned a 9% profit while the other earned a 5% profit. If the investors total profit was 166, how much was invested in each mutual fund? PLEASE HURRY

Answer:

132

Step-by-step explanation:

just figure out the surface area of both shapes A = 2 (w l + h l + h w) and add them together 132

Answer: 240 Grams.

Step-by-step explanation: First I need to find how many grams each bat eats, then multiply the 48 bats by each gram the bats eat. And you would get 240!

The derivative of the function f(x) = √x can be found using the definition of the derivative. Therefore, using the definition of the derivative, the derivative of f(x) = √x is f'(x) = 1 / (2√x).

The definition of the derivative of a function f(x) at a point x is given by the limit:

f'(x) = lim (h->0) [f(x+h) - f(x)] / h

Applying this definition to the function f(x) = √x, we have:

f'(x) = lim (h->0) [√(x+h) - √x] / h

To simplify this expression, we can use a technique called rationalization of the denominator. Multiplying the numerator and denominator by the conjugate of the numerator, which is √(x+h) + √x, we get:

f'(x) = lim (h->0) [√(x+h) - √x] / h * (√(x+h) + √x) / (√(x+h) + √x)

Simplifying further, we have:

f'(x) = lim (h->0) [(x+h) - x] / [h(√(x+h) + √x)]

Canceling out the terms and taking the limit as h approaches 0, we get:

f'(x) = lim (h->0) 1 / (√(x+h) + √x)

Evaluating the limit, we find that the derivative of f(x) = √x is:

f'(x) = 1 / (2√x)

Therefore, using the definition of the derivative, the derivative of f(x) = √x is f'(x) = 1 / (2√x).

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The probability that the bolt will be inserted in 19 minutes or less is 0.8413.

It should be noted that the probability will be illustrated as:

P(X < x) = P[z < (x - u/sd)]

where

x = number

u = mean

SD = standard deviation

Therefore given the numbers, this will be:

P(x < 19) = P(z < (19 - 15)/4)

= P(z < 4/4) = P(z < 1)

= 0.8413

Therefore, the probability that the bolt will be inserted in 19 minutes or less is 0.8413.

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The mean time it takes for workers at a factory to insert a delicate bolt into an engine is 15 minutes. The standard deviation of time to insert the bolt is 4.0 minutes and the distribution of time is approximately Normally distributed. For a randomly selected worker, what is the approximate probability the bolt will be inserted in 19 minutes or less?

The population of the city after 9 years is 999, 879, 514, 205 or approximately 1 trillion people.

Given that,

Initial population of the city = 330,000

Each year people grows by 4.25.

The population after t years, if the growth rate r and the initial population P is given, is,

P(t) = P(1 + r)^t

Here t = 9 years

P = 330,000

r = 4.25

P(9) = 330,000 (1 + 4.25)⁹

      = 999, 879, 514, 205 ≈ 1 trillion

Hence the required population is 1 trillion.

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Answer:

option C can be used.

Step-by-step explanation:

hope this helps you.

Answer:

Θ = 5 radians

Step-by-step explanation:

arc length is calculated as

arc = circumference of circle × fraction of circle

here arc length = 15 , then

2πr × \(\frac{0}{2\pi }\) = 15 ( r is the radius )

2π × 3 × \(\frac{0}{2\pi }\) = 15 ( cancel 2π on numerator/ denominator )

3Θ = 15 ( divide both sides by 3 )

Θ = 5 radians

Answer:

Exact Form:

45/44

Decimal Form:

1.0227

Mixed Number Form:

1  1/44

Step-by-step explanation:

Answer:

45/44 or 1  1/44

Step-by-step explanation:

\(5\frac{5}{8}\) ÷ \(5\frac{1}{2}\)

Change each mixed number into an improper fraction. Multiply the whole number by the denominator and add the numerator. This number becomes the new numerator and is put over the original denominator.

\(5\frac{5}{8} = \frac{45}{8}\)

\(5\frac{1}{2} = \frac{11}{2}\)

So now we can rewrite the expression as follows.

\(\frac{45}{8}\) ÷ \(\frac{11}{2}\)

Dividing by a fraction is the same thing as multiplying by its reciprocal. So rewrite the expression multiplying by 2/11 instead of dividing by 11/2.

\(\frac{45}{8}\) × \(\frac{2}{11}\)

Cross-cancel to simplify prior to solving the expression.

\(\frac{45}{8} * \frac{2}{11} = \frac{45}{4} * \frac{1}{11}\)

Solve the expression by mutiplying straight across.

\(\frac{45}{4} * \frac{1}{11} = \frac{45}{44}\)

So the original expression is equal to 45/44. If the answer is supposed to be a mixed number, divide the numerator by the denominator, and write the remainder as a fraction. So 45/44 also equals 1 and 1/44.

Answer:f

Step-by-step explanation:

its not that hard

The function is concave up for  x < 1 and concave down for x > 1 because the second derivative is positive for x < 1 and negative for x > 1. As a result, the critical point at x  < 1 is a relative maximum.

A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is common to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. A function is an equation that depicts the connection between an input x and an output y, with precisely one output for each input. Another name for input is domain, while another one for output is range.

Here,

The derivative of the function f(x) can be found by taking the derivative of the expression e^(-x) (x^2 + 2x) using the product rule:

f'(x) = -e^(-x) (x^2 + 2x) + e^(-x) (2x + 2) = 2e^(-x) - 2xe^(-x) (x + 1)

Setting f'(x) equal to zero and solving for x gives us the critical points:

0 = 2e^(-x) - 2xe^(-x).(x + 1)

2xe^(-x).(x + 1) = 2e^(-x)

x(x + 1) = e^x

x^2 + x - e^x = 0

Next, we determine the concavity of the function at the critical points by analyzing the second derivative of the function:

f''(x) = 2e^(-x) + 2xe^(-x) + 2xe^(-x).(x + 1) - 2e^(-x).(x + 1)

= 2e^(-x).(1 - x)

Since the second derivative is positive for x < 1 and negative for x > 1, the function is concave up for x < 1 and concave down for x > 1. Thus, the critical point at x < 1 corresponds to a relative maximum.

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Answer:

(x+1)(x-1)(x-5)

The roots are 1, -1, 5

Step-by-step explanation:

x³-5x²-x+5

(x³-5x²) - (x-5)

x²(x-5) - (x-5)

(x²-1)(x-5)

(x+1)(x-1)(x-5)

The roots are 1, -1, 5

Answer:

-6 and 2

Step-by-step explanation:

Answer:

Que is talking about a syrup which contains 50% of sugar .

Que asked : amount of sugar syrup from X grams of sugar.

Explanation :

if a sugar syrup contains 50% of sugar , that means that the half of the solution contains sugar and half is solvent .

means , 2 × amount of sugar = solution (syrup)

now , we are given x grams of sugar

then , solution can be made with x grams of sugar = 2 × (X grams) = 2X gram of solution or sugar syrup.

.

.

Mark BRAINLIEST!

Answer:

$20 :)

Step-by-step explanation:

There's a pattern in the table of adding 20 each time, so subtract 20 from 40 to get the answer!

Your answer is B: $20.

(You can get to this answer by dividing the number of tickets by the cost.)

Hope this helps!

Step-by-step explanation:

A)

the domain of a function is the interval or set of all valid values for the input variable (the parameter of the function) - in our case here "n".

as the description says, "n" is the number of days observing the growth of the plant.

so, what are useful values for the number of observation days ?

negative numbers ? no, for sure not.

0 ? yes, as the starting size of the plant, when the study began.

and greater than 0 ? yes, up to the n, where the functional value reaches 11.04.

beyond that ? no, because it does not make any sense, as nobody was checking, if the curve still fits. and a plant for sure will not grow to infinity.

so, the interval is [0, x].

and x is the solution for n of

11.04 = 10(1.02)^n

1.104 = (1.02)^n

\( log_{1.02}(1.104) = n\)

and to calculate that with our calculators we know that

\( log_{b}(a) = \frac{ log_{c}(a) }{ log_{c}(b) } \)

so, let's simply use log to the base of c=10 :

\( \frac{ log(1.104) }{ log(1.02) } = n\)

n = 0.042969073... / 0.008600172... = 5

the study ended after day 5.

therefore, the domain interval is [0, 5]

B)

I answered this already under A.

the y-intercept is the point of n=0, and it is the starting size of the plant, when the study began (day 0).

C)

the average rate of change of a function in an interval [begin, end] is simply

(f(end) - f(begin)) / (end - begin)

in our case

begin = 1

end = 5

(f(5) - f(1))/(5-1) = (10(1.02)⁵ - 10(1.02)¹)/4 = (11.04 - 10.2)/4 =

= 0.84/4 = 0.21

that means the plant grew as average 0.21 cm per day during that observation period between day 1 and day 5.

Answer:

h = v × 3/B

\(h = 18 \: cm\)

Step-by-step explanation:

\(v = \frac{1}{3} Bh \\ \\ h = v \div \frac{1}{3} B \\ \\ h = v \times \frac{3}{B} \\ \\ h = 216 \times \frac{3}{36} \\ \\ h = 18 \: cm\)

I hope I helped you^_^

Answer:

B

Step-by-step explanation:

if you solve all of them

2(4x) = 8x

a) 2 + 4x well you cant simplify more on that so no that wouldnt be the answer

b) (2 × 4)x = 8(x) = 8x

c) would equal 4 + 8x

d) 8 + 8x

hope I helped ;)

a.....This statement is True.

b.......This statement is True.

c....... "Vx in R, x ≠ 5 or x^2 ≠ 25".

(a) The converse of the statement is "If x^2 = 25, then x = 5". This statement is True.
(b) The contrapositive of the statement is "If x ≠ 5, then x^2 ≠ 25". This statement is True.
(c) The negation of the statement in simplified form is "Vx in R, x ≠ 5 or x^2 ≠ 25".

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Answer:

3x-15

Step-by-step explanation:

> First start off by rewriting with each term that has the same variable beside each other

5x+ x -3x+xy+2xy-3xy-4-2-9

> Start to combine like terms

3x + 0xy - 15

> Rewrite

3x-15

The mode is one of the measures of central tendency in statistics. It represents the number that appears most frequently in a given list of numbers. In the example above, the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18} is 12.

The mode is defined as the number that occurs most frequently in a list of numbers. In a set of numbers, there can be one mode, more than one mode, or no mode at all.

To find the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18}, we need to identify the number that appears most frequently. Here, we can observe that 12 is the number that appears twice, while all the other numbers only appear once.

Therefore, the mode for this list of numbers is 12. It's important to note that if there are multiple numbers that appear with the same highest frequency, then all of them are considered as modes. For instance, if the list of numbers was {5, 9, 12, 11, 12, 19, 19, 18}, then both 12 and 19 would be modes since they each appear twice.

In conclusion, the mode is one of the measures of central tendency in statistics. It represents the number that appears most frequently in a given list of numbers. In the example above, the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18} is 12.

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Answer:

117

Step-by-step explanation:

Angle BCD intercepted arc is Arc DEB.

We know DE measure but we need to find EB measure.

Since a circle circumference add up to 360, we can add all of the known arcs up to 360 to find the missing arc.

\(73 + 53 + 102 + x = 360\)

\(126 + 102 + x = 360\)

\(228 + x = 360\)

\(x = 132\)

So arc EB measure 132.

Arc eb and de.

132+102=234.

Angle BCD is inscribed angle of Arc DEB, so that means angle BCD is half of Arc DEB.

\( \frac{234}{2} = 117\)

The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

How to find the Z score

P(Z ≤ z) = 0.60

We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.

Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

For the second question:

We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:

P(Z ≥ z) = 0.30

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).

Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

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The average mean cost used for the condominium on maui is 132.5

According to the statement

we have given that the some data values and we have to find the mean of the data and tell the how much expensive is condominium on maui.

So, The given data set is

89 50 68 60 375 55 500 60 50 250 45 45 125 235 1 40 350 65 60 120

So, For this purpose we know that the

Average Mean is a middle point or something (as a place, time, number, or rate) that falls at or near a middle point

Formula to calculate mean is sum of terms / total number of terms.

So,

Mean = 89+ 50+ 68+ 60+ 375+ 55+ 500+ 60+ 50+ 250+ 45+ 45+ 125+ 235+ 1+ 40+ 350+ 65+ 60+ 120 / 20

Mean = 2643 / 20

Mean = 132.5

So, The average mean cost used for the condominium on maui is 132.5

Disclaimer: This question was incomplete. Please find the full content below.

Question:

Maui Vacation How expensive is Maui? If you want a vacation rental condominium

(up to four people), visit a Maui tourism web site. The Maui News gave the following costs in dollars per day for a random sample of condominiums located throughout the island of Maui.

89 50 68 60 375 55 500 60 50 250 45 45 125 235 1 40 350 65 60 120

what average mean would you use?

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For the given data, we will arrange the income per year from the least to the greatest then we will graph the income per year as (x) and saving per year as (y)

The following table represents the given data:

Now, we will graph the equation that represents the table

The general equation has the form: y = m * x + b

Where (m) is the slope and (b) is the y-intercept

The value of (b) = the value of (y) when (x = 0)

So, b = -500

The equation of the line will be:

The graph of the table will be as shown in the following picture:

We will find the saving when x = $12,500

So, y = 0.1 * 12500 - 500 = 750

Answer:

(5x)(2x) = 202.5

10x^2 = 202.5

x^2 = 20.25, so x = 4.5

Earl should order 60 reams of yellow paper and 40 reams of white paper to meet his requirement of 100 reams total and stay within his budget of $560.

Let's assume Earl orders x reams of yellow paper and y reams of white paper.

According to the given information:

Yellow paper cost: $5.00 per ream

White paper cost: $6.50 per ream

Total reams ordered: 100

Total budget: $560

We can set up the following equations based on the given information:

Equation 1: x + y = 100 (Total reams ordered)

Equation 2: 5x + 6.50y = 560 (Total cost within budget)

We can use these equations to solve for x and y.

From Equation 1, we can express x in terms of y:

x = 100 - y

Substituting this value of x into Equation 2:

5(100 - y) + 6.50y = 560

500 - 5y + 6.50y = 560

1.50y = 60

y = 40

Substituting the value of y back into Equation 1:

x + 40 = 100

x = 60

Therefore, Earl should order 60 reams of yellow paper and 40 reams of white paper to meet his requirements and stay within his budget.

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The grams of antimony present in the alloy is 80 grams

To find the grams of antimony present in the alloy we have use the formula:

\(Weight = (\frac{Mass\: Compound}{Mass \:alloy}) \times100\)

Here Weight = 16

Mass alloy = 500

Mass Compound = ?

\(16 = \frac{Mass compound}{5}\)

Mass compound = 16 * 5 = 80 grams

The grams of antimony present in the alloy is 80 grams

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Answer:

B and D

Step-by-step explanation:

Given

x² - x - 12

Consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (- 1)

The factors are - 4 and + 3 , since

- 4 × 3 = - 12 and - 4 + 3 = - 1 , then

x² - x - 12 = (x - 4)(x + 3) ← in factored form

Answer:

B and D

Step-by-step explanation:

If you call s=-1 the coefficient of x and p=-12 the constant term, you must find two numbers whose sum is s and product is p.

In this case the two numbers are -4 and +3 in fact:

(-4)+(+3)=-1=s

(-4)*(+3)=-12=p

The polynomial can therefore be written as

(x-4)(x+3)

If you want to check this result, just multiply and get:

(x-4)(x+3)=x^2+3x-4x-12=x^2-x-12

Answer:

7

Step-by-step explanation:

48-15=33

33-17=16

16-9=7

Answer:

7/16 is the simplest form since 7 is a prime number and 16 cannot be divided by 7.

Step-by-step explanation:

Answer:

7/16

Your right

have a nice day

The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

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